The difference between compound and simple rates of int on rs 10000 for 3 years at 5 per annum
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Hi !!!!!!!!!!!
Here is your answer,
Given :- Principal (P) = Rs. 10000
Rate of interest (R) = 5% per annum
Time (n) = 3years
Simple Intrest = Rs.1500
![Comound \: \: Intrest = P[ {(1 + \frac{R}{100} )}^{n} - 1 ] \\ \\ = 10000 \: [ {( 1 + \frac{5}{100} )}^{3} - 1 ] \\ \\ =10000 \: [ {( 1 + \frac{1}{20} )}^{3} - 1 ] \\ \\ = 10000 \: [ {( \frac{20 + 1}{20} )}^{3} - 1 ] \\ \\ = 10000 \: [ {( \frac{21}{20} )}^{3} - 1 ] \\ \\ = 10000 \: [ \: \frac{9261}{8000} - 1 \: ] \\ \\ = 10000 \:[ \: \frac{9261 - 8000}{8000} \: ] \\ \\ = 10000 \: [ \: \frac{1261}{8000} \: ] \\ \\ = 10000 \times \frac{1261}{8000 } \\ \\ = \frac{12610000}{8000} \\ \\ =1576.25](https://tex.z-dn.net/?f=Comound+%5C%3A++%5C%3A++Intrest++%3D+P%5B+%7B%281+%2B++%5Cfrac%7BR%7D%7B100%7D+%29%7D%5E%7Bn%7D++-+1+%5D+%5C%5C++%5C%5C++%3D+10000+%5C%3A+%5B++%7B%28+1+%2B+%5Cfrac%7B5%7D%7B100%7D+%29%7D%5E%7B3%7D++-+1+%5D+%5C%5C++%5C%5C++%3D10000+%5C%3A+%5B++%7B%28+1+%2B+%5Cfrac%7B1%7D%7B20%7D+%29%7D%5E%7B3%7D++-+1+%5D++%5C%5C++%5C%5C++%3D+10000+%5C%3A+%5B++%7B%28++%5Cfrac%7B20+%2B+1%7D%7B20%7D+%29%7D%5E%7B3%7D++-+1+%5D++%5C%5C++%5C%5C++%3D++10000+%5C%3A+%5B++%7B%28+%5Cfrac%7B21%7D%7B20%7D+%29%7D%5E%7B3%7D++-+1+%5D++%5C%5C++%5C%5C++%3D+10000+%5C%3A+%5B++%5C%3A+%5Cfrac%7B9261%7D%7B8000%7D++-+1+%5C%3A+%5D++%5C%5C++%5C%5C++%3D+10000+%5C%3A%5B++%5C%3A++%5Cfrac%7B9261+-+8000%7D%7B8000%7D++%5C%3A++%5D++%5C%5C++%5C%5C++%3D+10000+%5C%3A+%5B++%5C%3A+%5Cfrac%7B1261%7D%7B8000%7D+++%5C%3A+%5D+%5C%5C++%5C%5C++%3D+10000+%5Ctimes++%5Cfrac%7B1261%7D%7B8000+%7D+++%5C%5C++%5C%5C++%3D++%5Cfrac%7B12610000%7D%7B8000%7D++%5C%5C++%5C%5C++%3D1576.25 "Comound \: \: Intrest = P[ {(1 + \frac{R}{100} )}^{n} - 1 ] \\ \\ = 10000 \: [ {( 1 + \frac{5}{100} )}^{3} - 1 ] \\ \\ =10000 \: [ {( 1 + \frac{1}{20} )}^{3} - 1 ] \\ \\ = 10000 \: [ {( \frac{20 + 1}{20} )}^{3} - 1 ] \\ \\ = 10000 \: [ {( \frac{21}{20} )}^{3} - 1 ] \\ \\ = 10000 \: [ \: \frac{9261}{8000} - 1 \: ] \\ \\ = 10000 \:[ \: \frac{9261 - 8000}{8000} \: ] \\ \\ = 10000 \: [ \: \frac{1261}{8000} \: ] \\ \\ = 10000 \times \frac{1261}{8000 } \\ \\ = \frac{12610000}{8000} \\ \\ =1576.25")
Compound Interest = Rs. 1576.25
The difference between Compound Interest and Simple Intrest = C.I - S.I
= 1576.25 - 1500
= Rs. 76.25
Hope it helps !!!!!!
Here is your answer,
Given :- Principal (P) = Rs. 10000
Rate of interest (R) = 5% per annum
Time (n) = 3years
Simple Intrest = Rs.1500
Compound Interest = Rs. 1576.25
The difference between Compound Interest and Simple Intrest = C.I - S.I
= 1576.25 - 1500
= Rs. 76.25
Hope it helps !!!!!!
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